Estimating Cost of Capital Quiz

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Questions and Answers

What is the main reason for using the arithmetic average in forecasting expected returns?

  • It reflects historical compounding effects.
  • It accounts for high volatility in returns.
  • It is more accurate for short-term holdings.
  • It provides a simpler calculation. (correct)

What is a significant drawback of using historical data to estimate the market risk premium?

  • The standard errors of the estimates are large. (correct)
  • It requires a large amount of current data.
  • It does not consider inflation rates.
  • It cannot be applied to equity markets.

Which method is indicated for estimating alpha in relation to the cost of equity?

  • Network analysis of market trends.
  • Applying CAPM for predictions. (correct)
  • Using relative valuation metrics.
  • Historical dividend yield assessment.

What is the primary purpose of estimating the cost of capital?

<p>To evaluate minimum return requirements. (D)</p> Signup and view all the answers

What is the purpose of using historical data in the CAPM for estimating expected returns?

<p>To derive a security's beta (B)</p> Signup and view all the answers

What does Jensen's alpha represent in the context of a regression analysis?

<p>The stock's excess return (A)</p> Signup and view all the answers

What does the 95% confidence interval of Callaway's beta (1.5 to 2.0) suggest about the range of its equity cost of capital?

<p>The cost of capital could range from 10.5% to 13% (A)</p> Signup and view all the answers

Why is it a challenge to use a security's historical average return as an expected return estimate?

<p>Because past performance may not reflect current conditions (A)</p> Signup and view all the answers

What does the cost of capital represent in the context of investments?

<p>The best expected return available in the market on investments with similar risk (A)</p> Signup and view all the answers

How does the Capital Asset Pricing Model (CAPM) help in estimating the cost of capital?

<p>By identifying investments with similar risk based on their beta (C)</p> Signup and view all the answers

What might be a consequence of estimating expected returns directly from historical data without considering beta?

<p>Overly optimistic projections of risk (C)</p> Signup and view all the answers

What is the significance of beta in relation to the cost of capital?

<p>It represents the sensitivity of an investment to market risk (B)</p> Signup and view all the answers

Under CAPM, the market portfolio is characterized as which of the following?

<p>A well-diversified and efficient portfolio reflecting non-diversifiable risk (A)</p> Signup and view all the answers

When using the CAPM, what is the formula for calculating the expected return given a beta value?

<p>$Risk-free rate + Beta × Market return$ (B)</p> Signup and view all the answers

What does the equity cost of capital specifically refer to?

<p>The return expected by equity investors for investing in a firm (D)</p> Signup and view all the answers

What does an unlevered cost of capital represent?

<p>The cost of capital without considering the effects of debt (A)</p> Signup and view all the answers

When estimating alpha, what key aspect is necessary to ensure accuracy?

<p>Assessing the investment's beta against the market (B)</p> Signup and view all the answers

Which of the following best describes excess return?

<p>The return above the risk-free rate on a security (A)</p> Signup and view all the answers

Flashcards

Cost of Capital

The best expected return available in the market for investments with similar risk.

Capital Asset Pricing Model (CAPM)

A model that calculates the expected return of an investment based on its beta, the risk-free rate, and the market risk premium.

Beta

A measure of an investment's sensitivity to market risk.

Market Portfolio

A well-diversified portfolio that represents the non-diversifiable risk in the economy.

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Similar Risk

Investments with the same beta have similar risk because they have the same sensitivity to market risk.

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Cost of Capital and Beta

The cost of capital of any investment equals the expected return of available investments with the same beta.

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Equity Cost of Capital

The cost of capital for equity financing, representing the return investors expect for holding a company's stock.

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Jensen's Alpha

The excess return of a stock over the risk-free rate, as measured by the CAPM.

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Confidence Interval

The range of possible values for a parameter, taking into account the uncertainty of the estimate. It's often expressed as a 95% confidence interval, meaning there's a 95% chance the true value lies within that range.

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Debt Cost of Capital

The cost of capital for debt financing, representing the return lenders expect for providing loans to a company.

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Historical Average Return

The average return of an investment over a historical period, which is often used as an estimate of its future expected return.

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Uncertainty in Beta and Expected Returns

Estimates of beta and expected returns are inherently uncertain, as they are based on historical data and the inherent volatility of financial markets.

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Market Risk Premium

The difference between the expected return on the market and the risk-free rate of return on U.S. Treasury Securities.

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S&P 500 Excess Return vs. One-year Treasury

The average excess return of the S&P 500 over the one-year U.S. Treasury yield, calculated between 1926 and 2015.

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S&P 500 Excess Return vs. Ten-year Treasury

The average excess return of the S&P 500 over the 10-year U.S. Treasury yield, calculated between 1965 and 2015.

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Fundamental Approach to Market Risk Premium

The use of historical data to estimate the market risk premium, which involves calculating the average excess return of the market over risk-free assets.

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Shortcomings of Fundamental Approach

A drawback of the fundamental approach to estimating the market risk premium due to the limited data available, resulting in imprecise estimates and a wide range of possible outcomes.

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Standard Errors in Market Risk Premium Estimates

The standard error of the estimated market risk premium using historical data can be quite large, implying a wide range of potential outcomes.

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Limitations of Historical Data

The use of historical data to estimate the market risk premium is prone to errors due to the limited data available, which can lead to inaccurate predictions.

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Confidence Interval for Market Risk Premium

The confidence interval for the estimated market risk premium using historical data is ±4.1%, indicating the range of possible outcomes with a 95% probability.

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Study Notes

Estimating the Cost of Capital

  • Managers estimate the cost of capital to evaluate investment projects, determining their net present value (NPV)
  • The cost of capital includes a risk premium compensating investors for project risk
  • The Capital Asset Pricing Model (CAPM) helps estimate the risk premium and cost of capital
  • The cost of capital depends on the investment's risk, measured by its beta relative to the market portfolio
  • The market portfolio represents the non-diversifiable risk in the economy and is well diversified
  • Investments with similar risk have the same sensitivity to market risk, measured by beta

Equity Cost of Capital

  • The cost of capital for a firm's stock is its equity cost of capital, calculated using the CAPM equation
  • The CAPM equation calculates the cost of capital using the expected return and risk-free interest rate
  • A higher beta indicates a higher sensitivity to market risk, resulting in a higher cost of capital
  • To implement CAPM, the market portfolio and its expected excess return have to be identified
  • The investor's willingness to hold market risk is measured by the market risk premium
  • The risk-free rate is determined from U.S. Treasury securities (matching maturity) or highest-quality corporate bonds

The Market Portfolio

  • The market portfolio comprises all securities, with weights proportional to their market capitalization
  • A value-weighted portfolio is an equal-ownership portfolio, maintaining value weighting through price changes
  • Common proxies representing the market portfolio are the S&P 500 and the Wilshire 5000 indexes
  • The S&P 500 tracks the largest 500 U.S. stocks, while the Wilshire 5000 includes almost 80% of the U.S. stock market in terms of market capitalization

Beta Estimation

  • A fundamental approach to estimating market risk premium involves assessing future cash flows and evaluating discount rates consistent with current index levels
  • Beta is calculated using historical returns and represents the sensitivity of a security's return to the market portfolio's return
  • Linear regression helps identify the best-fitting line for a security's excess return versus the market's excess return
  • Beta represents the percentage change in a security's return per 1% change in the market portfolio's return

The Debt Cost of Capital

  • Debt yield usually overestimates the actual expected return due to default risk
  • The expected return for debt can be estimated using the CAPM or by examining historical default rates.
  • Considering firm's bond ratings and recession periods helps estimate the expected return for debt
  • Debt beta represents a bond's sensitivity to market risk.
  • A firm's cost of capital has to be adjusted for potential default risk using a bond's loss rate or recovery rate.

Project Cost of Capital

  • Estimating a project's cost of capital involves identifying comparable firms in the same business line
  • All-equity comparable firms (no debt) provide straightforward beta and cost of capital estimates, using the asset betas
  • Levered firms (with debt) are more complex. Determining the comparable firm's asset beta is done using the firms' unlevered betas
  • This unlevered beta is then used to estimate the project cost of capital using the CAPM

Estimating Industry Asset Betas

  • Industry asset betas are calculated by averaging comparable unlevered betas of several businesses in the same line of business
  • Differences in firms' betas are often due to differences in leverage. Combining unlevered betas from multiple companies can reduce estimation errors

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